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2 years ago

Select all of the names of this polygon.

Mathematics

1 answer:

Shalnov [3]2 years ago

8 0

Trapezoid
quadrilateral
rhombus
parallelogram

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Find the generating function for the sequence 1,1,1,2,3,4,5,6,....

marin [14]

Answer:

$P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1$ [/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

$1,1,1,2,3,4,5,6,...$

the generating function would be

$P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\$

we can multiply P(x) by x to get

$xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...$

Note that

$P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\ \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)$

which for $\mid x \mid < 1$ can be rewritten as

$(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}$

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2 years ago

What is the value of x that makes 4(2x + 22.2) = 4(x – 17.87) true?

riadik2000 [5.3K]

Answer:

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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rodikova [14]

Answer:

Number 3 : describe the behavior at the end of the graph: the line is increasing, also i believe thats non linear.

Step-by-step explanation:

Because the end segment of the graph goes up that means the line is increasing.

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3 years ago

What is sin(A)? 13 12 A 5 sin(A) =

eimsori [14]

Answer:

sin A = 12/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side/ hypotenuse

sin A = 12/13

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2 years ago